document.write( "Question 389190: In a certain college, 40% of the senior class students is taking Physics, 30% is taking calculus and 10% is taking both. If 40 students are enrolled in the senior class, how many students are taking neither Physics nor calculus? \n" ); document.write( "

Algebra.Com's Answer #275741 by josmiceli(19441) $\"\"$ $\"About$

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I want to count the 10% that take both courses only once,
\n" ); document.write( "so I will include them in the 40% that take Physics,
\n" ); document.write( "but not in the 30% that take calculus.
\n" ); document.write( "Therefore I have counted 40% + (30% - 10%) = 60%
\n" ); document.write( "of the students.
\n" ); document.write( "The problem tells me that
\n" ); document.write( "60% of 40 students are enrolled in these 2 courses.
\n" ); document.write( " $\".6%2A40+=+24\"$
\n" ); document.write( "Therefore $\"40+-+24+=+16\"$
\n" ); document.write( "16 students are enrolled in neither of these courses\r
\n" ); document.write( "\n" ); document.write( "
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